Question

How do you calculate the `sin ^ -1 (.6075)`?

Answer 1

`theta=37.41^@, 142.59^@`

Explanation:

Since `0.6075` is not an angle in a special triangle, we have to use a calculator:

`sintheta=(0.6075)`
`theta=sin^-1(0.6075)`
`theta~~37.41^@`

However, since the CAST rule states that sine is positive in quadrants `1` and `2`, our answer should also include the other principal angle in quadrant `2`.

To find the other angle, we do `180^@-37.41^@` to find the principal angle in quadrant `2`:

`180^@-37.41^@`
`~~142.59^@`